This is for producing templates ((bra)), ((ket)), and ((bra-ket)). It can also produce quantum state vectors in bra–ket notation, using wikicode, ideally with ((math)), as an alternative to LaTeX in <math> mode, but using this template ( ((braket)) ) is more clumsy than the simpler and more directly applicable ((bra)), ((ket)), and ((bra-ket)).
There are three parameters, use as many as needed in this order:
If 1 is set to bra-ket, the symbols are entered in the order they are read, left to right. The symbols can of course be bold, italic, underlined, any unicode symbol, etc.
A ket can be written: |ψ⟩, that is ((braket|ket|ψ))
.
Using ((math)), a ket can be written: |ψ⟩, that is ((math|((braket|ket|ψ))))
.
A bra can be written: ⟨ψ| = |ψ⟩†, that is ((braket|bra|ψ)) = ((braket|ket|ψ))<sup>†</sup>
.
Using ((math)), a bra can be written: ⟨ψ| = |ψ⟩†, that is ((math|((braket|bra|ψ)) ((=)) ((braket|ket|ψ))<sup>†</sup>))
.
The inner product of the kets |ξ⟩ and |ψ⟩ can be written: ⟨ψ|ξ⟩ = ⟨ξ|ψ⟩†, that is ((braket|bra-ket|ψ|ξ)) = ((braket|bra-ket|ξ|ψ))<sup>†</sup>
.
Using ((math)), the inner product of the kets |ξ⟩ and |ψ⟩ can be written: ⟨ψ|ξ⟩ = ⟨ξ|ψ⟩†, that is ((math|((braket|bra-ket|ψ|ξ)) ((=)) ((braket|bra-ket|ξ|ψ))<sup>†</sup>))
.
The outer product of the kets |ξ⟩ and |ψ⟩ can be written: |ψ⟩⟨ξ| = [|ξ⟩⟨ψ|]†, that is ((braket|ket|ψ))((braket|bra|ξ)) = [((braket|ket|ξ))((braket|bra|ψ))]<sup>†</sup>
.
Using ((math)), the outer product of the kets |ξ⟩ and |ψ⟩ can be written: |ψ⟩⟨ξ| = [|ξ⟩⟨ψ|]†, that is ((braket|ket|ψ))((braket|bra|ξ)) ((=)) [((braket|ket|ξ))((braket|bra|ψ))]<sup>†</sup>
.
The inner product of the kets |ξ⟩ and Ĥ|ψ⟩ is written using a bra and ket separately between the operator (there is no third parameter for the operator symbol):
that is
((braket|bra|ψ))''Ĥ''((braket|ket|ξ)) = ((braket|bra|ξ))''Ĥ''<sup>†</sup>((braket|ket|ψ))
.Using ((math)), the inner product of the kets |ξ⟩ and Ĥ|ψ⟩ is written using a bra and ket separately between the operator:
that is
((math|((braket|bra|ψ))''Ĥ''((braket|ket|ξ)) ((=)) ((braket|bra|ξ))''Ĥ''<sup>†</sup>((braket|ket|ψ))))
.In wiki-markup rather than LaTeX:
that is,
((math|''iħ''((sfrac|''d''|''dt''))((braket|ket|Ψ(''t''))) ((=)) ''Ĥ''((braket|ket|Ψ(''t''))) ↔ −''iħ''((braket|bra|Ψ(''t'')))((sfrac|''d''|''dt'')) ((=)) ((braket|bra|Ψ(''t'')))''Ĥ''<sup>†</sup>))
The tensor product of the kets |ξ⟩ and |ψ⟩ is written using the ket mode only (there is no parameter for tensor products):
that is
((braket|ket|ξ))((braket|ket|ψ)) ≡ ((braket|ket|ξ)) ⊗ ((braket|ket|ψ)) ≡ ((braket|ket|ξ, ψ))
.Using ((math)), the tensor product of the kets |ξ⟩ and |ψ⟩ is written using the ket mode only:
that is
((math|((braket|ket|ξ))((braket|ket|ψ)) ≡ ((braket|ket|ξ)) ⊗ ((braket|ket|ψ)) ≡ ((braket|ket|ξ, ψ))))
.